A Quasi-Interpolation Satisfying Quadratic Polynomial Reproduction with Radial Basis Functions

(整期优先)网络出版时间:2007-04-14
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Inthispaper,anewquasi-interpolationwithradialbasisfunctionswhichsatis-fiesquadraticpolynomialreproductionisconstructedontheinfinitesetofequallyspaceddata.Anewbasisfunctionisconstructedbymakingconvolutionintegralwithaconstructedsplineandagivenradialbasisfunction.Inparticular,fortwicelydiffer-entiablefunctiontheproposedmethodprovidesbetterapproximationandalsotakescareofderivativesapproximation.